The Ring is retarded to 0 rad/s

Consider a ring of mass mm and radius RR touching a rough wall of coefficient of friction μ\mu as shown in figure. The ring has an initial angular velocity of ω0\omega_0.

Find the time taken by the ring to come to a halt.

Details and Assumptions

  • The ring doesn't translate on the wall.

  • μ=13\mu = \dfrac{1}{\sqrt{3}}

  • m=1kgm = 1 kg

  • R=1mR = 1 m

  • α=π3\alpha = \dfrac{\pi}{3}

  • ω0=10rad/s\omega_0 = 10 rad/s

  • g=10m/s2g = 10 m/s^2

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